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Finding the Fourth Proportional to 458,597.90, 686,514.45 and 403,301.90

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Solution

The fourth proportional to 458,597.90, 686,514.45 and 403,301.90 is: 603,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,597.90 : 686,514.45 = 403,301.90 : x
  2. Step 2: Convert to fraction form
    458,597.90/686,514.45 = 403,301.90/x
  3. Step 3: Cross multiply
    458,597.90x = 686,514.45 × 403,301.90
  4. Step 4: Simplify right side
    458,597.90x = 276,872,582,062.46
  5. Step 5: Solve for x
    x = 276,872,582,062.46/458,597.90
  6. Step 6: Final answer
    x = 603,737.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.